Question

Arrange the following rational numbers in ascending order.

`(4)/(5),(6)/(7) and (7)/(10)`

Answer 1

Given number : `(4)/(5),(6)/(7) and (7)/(10)`

The L.C.M. of 5, 7 and 10 is 70.

Thus, numbers are :
`(4)/(5)`

= `(4 xx 14)/(5 xx 14)`

= `(56)/(70)`;

`(6)/(7)`

= `(6 xx 10)/(7 xx 10)`

= `(60)/(70)`

and `(7)/(10)`

= `(7 xx 7)/(10 xx 7)`

= `(49)/(70)`.

Since 49 < 56 < 60, we have `(7)/(10) < (4)/(5) < (6)/(7)`.